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646068096 = 2733199839
BaseRepresentation
bin100110100000100…
…011011110000000
31200000200122211000
4212200203132000
52310343134341
6144035252000
722003326312
oct4640433600
91600618730
10646068096
11301763583
1216044a000
13a3b0841b
1461b397b2
153babc8b6
hex26823780

646068096 has 128 divisors (see below), whose sum is σ = 2007360000. Its totient is φ = 204000768.

The previous prime is 646068089. The next prime is 646068131. The reversal of 646068096 is 690860646.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60745 + ... + 70583.

It is an arithmetic number, because the mean of its divisors is an integer number (15682500).

Almost surely, 2646068096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003680000).

646068096 is an abundant number, since it is smaller than the sum of its proper divisors (1361291904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

646068096 is a wasteful number, since it uses less digits than its factorization.

646068096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 646068096 is about 25417.8696196200. The cubic root of 646068096 is about 864.4889208079.

The spelling of 646068096 in words is "six hundred forty-six million, sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 8208 9839 10944 16416 19678 21888 29517 32832 39356 59034 65664 78712 88551 118068 157424 177102 186941 236136 265653 314848 354204 373882 472272 531306 560823 629696 708408 747764 944544 1062612 1121646 1259392 1416816 1495528 1682469 1889088 2125224 2243292 2833632 2991056 3364938 3778176 4250448 4486584 5047407 5667264 5982112 6729876 8500896 8973168 10094814 11334528 11964224 13459752 17001792 17946336 20189628 23928448 26919504 34003584 35892672 40379256 53839008 71785344 80758512 107678016 161517024 215356032 323034048 646068096